4088448880 has 80 divisors (see below), whose sum is σ = 10031277600. Its totient is φ = 1545384960.

The previous prime is 4088448869. The next prime is 4088448893. The reversal of 4088448880 is 888448804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636726 + ... + 643114.

It is an arithmetic number, because the mean of its divisors is an integer number (125390970).

Almost surely, 2^4088448880 is an apocalyptic number.

4088448880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4088448880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015638800).

4088448880 is an abundant number, since it is smaller than the sum of its proper divisors (5942828720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4088448880 is a wasteful number, since it uses less digits than its factorization.

4088448880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6842 (or 6836 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 52.

The square root of 4088448880 is about 63940.9796609342. The cubic root of 4088448880 is about 1599.0161764310.

The spelling of 4088448880 in words is "four billion, eighty-eight million, four hundred forty-eight thousand, eight hundred eighty".